 | John Playfair - 1833 - 346 pagina’s
...PROP. XXIX. THEOR. If a straight line fall upon two parallel straight lines, it makes the alter' male angles equal to one another ; and the exterior angle equal to the interior and opposite upon the same side ; and likewise the two interior angles upon the same. side together equal to two... | |
 | Euclid - 1835 - 540 pagina’s
...&c. QED PROP. XXIX. THEOR. See the Jf a straight line fall upon two parallel straight ti?isepropo- lines, it makes the alternate angles equal to one...exterior angle equal to the interior and opposite upon the same side ; and likewise the two interior angles upon the same side together equal to two... | |
 | Robert Simson - 1835 - 544 pagina’s
...line," &c. QED PROP. XXIX. THEOR. Sec the If a straight line fall upon two parallel straight ""„. lines, it makes the alternate angles equal to one...; and the exterior angle equal to the interior and opi>osite upon the same side ; and likewise the two interior angles upon the same side together equal... | |
 | 1835 - 684 pagina’s
...two right angles (2.). Therefore, if one straight line, falling upon two other straight lines, make the two interior angles, on the same side, together equal to two right angles, the two straight lines shall be parallel : and conversely. Cor. 4. (Eue. i. ax. 12.) If one straight... | |
 | 1836 - 488 pagina’s
...straight lines are parallel to one another. XXIX. If a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one...exterior angle equal to the interior and opposite angle upon the same side ; and likewise the two interior angles upon the same side together equal to two... | |
 | John Playfair - 1836 - 148 pagina’s
...parallel. COR. II. If a straight line falling on two other straight lines in the same plane, makes the two interior angles on the same side together equal to two right angles ; those two straight lines are parallel. . PROP. III. THEOR. If a straight line fall on two parallel... | |
 | Robert Mudie - 1836 - 524 pagina’s
...alternate angles equal, the exterior angle equal to the interior and opposite on the same side, or the interior angles on the same side together equal to two right angles, we may always conclude that the two straight lines, which answer any of these conditions with the third... | |
 | Robert Mudie - 1836 - 542 pagina’s
...alternate angles equal, the exterior angle equal to the interior and opposite on the same side, or the interior angles on the same side together equal to two right angles, we may always conclude that the two straight lines, which answer any of these conditions with the third... | |
 | Euclides - 1837 - 112 pagina’s
...PROPOSITION XXIX. (Argument ad absurdum). Theorem. If a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one...exterior angle equal to the interior and opposite upon the same side; and the two interior angles upon the same side together equal to two right angles.... | |
 | John Playfair - 1837 - 332 pagina’s
...will be parallel to each other. PROP. XXIX. THEOR. If a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one...exterior angle equal to the interior and opposite upon the same side ; and likewise the two interior angles upon the same side together equal tu two... | |
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IF a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one another; and the exterior angle equal to the interior and opposite upon the same side; and likewise the two interior angles upon the same side together... 
